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Finding the Third Proportional to 112,212 and 187,002

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Solution

The third proportional to 112,212 and 187,002 is: 311,640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,212 : 187,002 = 187,002 : x
  2. Step 2: Convert to fraction form
    112,212/187,002 = 187,002/x
  3. Step 3: Cross multiply
    112,212x = 187,002 × 187,002
  4. Step 4: Simplify right side
    112,212x = 34,969,748,004
  5. Step 5: Solve for x
    x = 34,969,748,004/112,212
  6. Step 6: Final answer
    x = 311,640.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.